Search Results

• The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

  Jinye Shen, Xuping Wang, Zhi-zhong Sun

  2020-03-06

  45969 4377 Pages:253-280

• Effect of Flux Evaluation Methods on the Resolution and Robustness of the Two-Step Finite-Difference WENO Scheme

  T. Kamiya, M. Asahara, T. Nonomura

  2020-12-02

  46863 2836 Pages:1068-1097

• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

  Tao Wang & Tiegang Liu

  2018-09-18

  44553 4913 Pages:312-330

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  48712 2707 Pages:1168-1190

• Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

  Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun

  2023-08-29

  28887 2616 Pages:634-667

• Entirely Exponential-Type Scheme (E2S) for Optimization Problems with Singularly Perturbed ODE Constraints: The Model Problem

  Mengyu Li, Tiegang Liu, Kui Cao, Chengliang Feng, Bin Zhang, Weixiong Yuan

  2025-09-01

  5035 403 Pages:817-844

• Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-12-11

  12183 1254 Pages:855-881

• Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

  Cui-Cui Ji, Weizhong Dai

  2023-04-10

  40632 9016465 Pages:511-540

• Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System

  Shasha Bian, Yue Cheng, Boling Guo, Tingchun Wang

  2023-01-13

  34874 3239 Pages:140-164

• Energy Identities and Stability Analysis of the Yee Scheme for 3D Maxwell Equations

  Liping Gao, Xiaorui Sang, Rengang Shi

  2020-03-16

  45944 2936 Pages:788-813

• An Unconditionally Stable Laguerre Based Finite Difference Method for Transient Diffusion and Convection-Diffusion Problems

  Wescley T. B. de Sousa & Carlos F. T. Matt

  2019-04-22

  44453 2761 Pages:681-708

• A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory

  R. Nageshwar Rao & P. Pramod Chakravarthy

  2014-07-01

  41580 4450 Pages:23-40

• Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

  Jie Ding, Xiang Ji, Ziheng Xu

  2025-09-01

  5020 409 Pages:703-732

• A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

  R.K. Mohanty, Li Yuan, Divya Sharma

  2021-01-26

  45270 2637 Pages:488-507

• An Implicit Scheme for Solving Unsteady Boltzmann Model Equation

  Xiaowei Li, Chunxin Li, Dan Zhang, Zhihui Li

  2018-12-17

  42692 2871 Pages:594-606

• Efficient Simulation of Wave Propagation with Implicit Finite Difference Schemes

  Wensheng Zhang, Li Tong & Eric T. Chung

  2018-08-14

  39559 3765 Pages:205-228

• A Finite Difference Scheme on $a$ $priori$ Adapted Meshes for a Singularly Perturbed Parabolic Convection-Diffusion Equation

  Grigory I. Shishkin

  2008-01-01

  37778 3306 Pages:214-234

• Artificial Boundary Conditions for Time-Fractional Telegraph Equation

  Wang Kong, Zhongyi Huang

  2022-03-23

  46227 2970 Pages:360-386

• Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

  Liping Zhou, Shi Shu, Haiyuan Yu

  2019-10-12

  45952 2680 Pages:1119-1140

• An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

  Cuicui Ji & Zhizhong Sun

  2017-10-01

  38780 2683 Pages:597-613

• Numerical Method for Singularly Perturbed Third Order Ordinary Differential Equations of Convection-Diffusion Type

  J. Christy Roja & A. Tamilselvan

  2014-07-01

  40284 3823 Pages:265-287

• A Compact Difference Scheme for an Evolution Equation with a Weakly Singular Kernel

  Hongbin Chen & Da Xu

  2012-05-01

  43522 4024 Pages:559-572

• The Immersed Interface Hybridized Difference Method for Parabolic Interface Problems

  Youngmok Jeon, Son-Young Yi

  2022-03-23

  44645 2827 Pages:336-359

• A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation

  Panchi Li, Lei Yang, Jin Lan, Rui Du, Jingrun Chen

  2023-01-13

  38443 3335 Pages:182-203

• Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

  Jitenjaya Pradhan & Yogesh G. Bhumkar

  2019-04-22

  42684 2690 Pages:942-968

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  44084 2798 Pages:845-866

• Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid

  Jugal Mohapatra & Srinivasan Natesan

  2018-08-14

  40023 4289 Pages:1-22